Problem 6. A laboratory experiment is set up to measure the pressure drop for water flowing through a smooth tube as shown. The tube has a diameter of 1.60 cm and a length of 3.50 m. The water enters the tube from a reservoir through a square-edged entrance. The water exits the tube through an abrupt exit. (a) Calculate the average velocity and volumetric flow rate (in L/min) needed to obtain turbulent flow in the tube. (b) Calculate the reservoir height required to obtain turbulent flow in the tube. large tank of H water L D pipe flow NOTE: Many problems in Chapter 8 involve determination of the Moody friction factor, f, for turbulent flow which is a function of the Reynolds number, Red, and dimensionless roughness, e/D. For most calculations, f can be determined using either (1) the Blasius correlation for low Red flow in smooth pipes, (2) a correlation for fully-turbulent flow for high Red flow in very rough pipes, or (3) read from the Moody Diagram (a plot of the Colebrook correlation, which does not have a closed form solution). A more accurate approach for moderate Red flow in rough pipes is to iterate for f using the Colebrook correlation and an equation solver (such as in EES, Excel, or Matlab).

Elements Of Electromagnetics
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Problem 6. A laboratory experiment is set up to measure the pressure drop for water flowing through a smooth
tube as shown. The tube has a diameter of 1.60 cm and a length of 3.50 m. The water enters the tube from a
reservoir through a square-edged entrance. The water exits the tube through an abrupt exit. (a) Calculate the
average velocity and volumetric flow rate (in L/min) needed to obtain turbulent flow in the tube. (b) Calculate the
reservoir height required to obtain turbulent flow in the tube.
large
tank of H
water
L
D
pipe
flow
NOTE: Many problems in Chapter 8 involve determination of the Moody friction factor, f, for turbulent flow
which is a function of the Reynolds number, Red, and dimensionless roughness, e/D. For most calculations, f
can be determined using either (1) the Blasius correlation for low Red flow in smooth pipes, (2) a correlation for
fully-turbulent flow for high Red flow in very rough pipes, or (3) read from the Moody Diagram (a plot of the
Colebrook correlation, which does not have a closed form solution). A more accurate approach for moderate
Red flow in rough pipes is to iterate for f using the Colebrook correlation and an equation solver (such as in
EES, Excel, or Matlab).
Transcribed Image Text:Problem 6. A laboratory experiment is set up to measure the pressure drop for water flowing through a smooth tube as shown. The tube has a diameter of 1.60 cm and a length of 3.50 m. The water enters the tube from a reservoir through a square-edged entrance. The water exits the tube through an abrupt exit. (a) Calculate the average velocity and volumetric flow rate (in L/min) needed to obtain turbulent flow in the tube. (b) Calculate the reservoir height required to obtain turbulent flow in the tube. large tank of H water L D pipe flow NOTE: Many problems in Chapter 8 involve determination of the Moody friction factor, f, for turbulent flow which is a function of the Reynolds number, Red, and dimensionless roughness, e/D. For most calculations, f can be determined using either (1) the Blasius correlation for low Red flow in smooth pipes, (2) a correlation for fully-turbulent flow for high Red flow in very rough pipes, or (3) read from the Moody Diagram (a plot of the Colebrook correlation, which does not have a closed form solution). A more accurate approach for moderate Red flow in rough pipes is to iterate for f using the Colebrook correlation and an equation solver (such as in EES, Excel, or Matlab).
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